2
8
7
9
6
4
3
5
1
9
3
1
7
2
5
6
8
4
5
6
4
8
3
1
2
9
7
8
9
2
7
4
5
6
1
3
1
4
6
2
9
3
5
7
8
3
7
5
1
8
6
9
4
2
5
7
9
1
3
6
4
2
8
8
6
2
4
5
9
3
1
7
4
1
3
7
2
8
6
5
9
This Sudoku Puzzle has 61 steps and it is solved using Hidden Single, Locked Candidates Type 1 (Pointing), Locked Candidates Type 2 (Claiming), Naked Pair, Naked Single, Naked Triple, Hidden Pair, Skyscraper, Full House techniques.
Naked Single
Explanation
Hidden Single
Explanation
Hidden Pair
Explanation
Locked Candidates
Explanation
Locked Candidates
Explanation
Full House
Explanation
Solution Steps:
- Row 6 / Column 6 → 8 (Hidden Single)
- Row 3 / Column 5 → 8 (Hidden Single)
- Row 9 / Column 3 → 8 (Hidden Single)
- Row 4 / Column 3 → 2 (Hidden Single)
- Row 2 / Column 7 → 8 (Hidden Single)
- Row 2 / Column 6 → 5 (Hidden Single)
- Row 6 / Column 4 → 5 (Hidden Single)
- Row 1 / Column 7 → 5 (Hidden Single)
- Row 6 / Column 2 → 1 (Hidden Single)
- Row 2 / Column 9 → 1 (Hidden Single)
- Row 3 / Column 3 → 1 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 7 in b4 => r5c79<>7
- Locked Candidates Type 2 (Claiming): 7 in c9 => r12c8,r3c7<>7
- Row 2 / Column 4 → 7 (Hidden Single)
- Naked Pair: 4,6 in r5c9,r6c8 => r4c78,r5c7<>6, r5c7<>4
- Row 5 / Column 7 → 1 (Naked Single)
- Row 4 / Column 4 → 1 (Hidden Single)
- Row 9 / Column 5 → 1 (Hidden Single)
- Naked Triple: 4,6,9 in r45c2,r6c1 => r5c1<>4, r5c13<>6, r5c3<>9
- Locked Candidates Type 1 (Pointing): 9 in b4 => r8c2<>9
- Hidden Pair: 2,7 in r8c78 => r8c78<>3, r8c78<>4, r8c78<>6
- Skyscraper: 6 in r2c2,r6c1 (connected by r26c8) => r13c1,r45c2<>6
- Row 4 / Column 2 → 9 (Naked Single)
- Row 4 / Column 6 → 6 (Naked Single)
- Row 5 / Column 5 → 9 (Full House)
- Row 5 / Column 2 → 4 (Naked Single)
- Row 3 / Column 6 → 4 (Naked Single)
- Row 8 / Column 6 → 9 (Full House)
- Row 5 / Column 9 → 6 (Naked Single)
- Row 6 / Column 1 → 6 (Naked Single)
- Row 6 / Column 8 → 4 (Full House)
- Row 8 / Column 3 → 6 (Naked Single)
- Row 1 / Column 3 → 7 (Naked Single)
- Row 8 / Column 2 → 3 (Naked Single)
- Row 2 / Column 2 → 6 (Full House)
- Row 2 / Column 8 → 3 (Full House)
- Row 5 / Column 3 → 5 (Naked Single)
- Row 5 / Column 1 → 7 (Full House)
- Row 7 / Column 3 → 9 (Full House)
- Row 8 / Column 4 → 4 (Naked Single)
- Row 9 / Column 1 → 4 (Naked Single)
- Row 7 / Column 1 → 5 (Full House)
- Row 1 / Column 9 → 4 (Naked Single)
- Row 3 / Column 9 → 7 (Naked Single)
- Row 4 / Column 8 → 7 (Naked Single)
- Row 4 / Column 7 → 3 (Full House)
- Row 7 / Column 9 → 3 (Naked Single)
- Row 9 / Column 9 → 9 (Full House)
- Row 8 / Column 8 → 2 (Naked Single)
- Row 1 / Column 8 → 6 (Full House)
- Row 8 / Column 7 → 7 (Full House)
- Row 3 / Column 7 → 2 (Full House)
- Row 9 / Column 7 → 6 (Naked Single)
- Row 7 / Column 7 → 4 (Full House)
- Row 7 / Column 5 → 6 (Full House)
- Row 1 / Column 5 → 3 (Full House)
- Row 9 / Column 4 → 3 (Full House)
- Row 3 / Column 1 → 3 (Naked Single)
- Row 1 / Column 1 → 2 (Full House)
- Row 1 / Column 4 → 9 (Full House)
- Row 3 / Column 4 → 6 (Full House)
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